A set of quasi-uniform random variables X1, . . . , Xn may be generated from a finite group G and n of its subgroups, with the corresponding entropic vector depending on the subgroup structure of G. It is known that the set of entropic vectors obtained by considering arbitrary finite groups is much richer than the one provided just by abelian groups. In this paper, we start to investigate in mo...

let $f_q d_{2n}$ be the group algebra of $d_{2n}$, the dihedral group of order $2n$ over $f_q=gf(q)$. in this paper, we establish the structure of $u(f_{2^k}d_{2n})$, the unit group of $f_{2^k}d_{2n}$ and that of its normalized unitary subgroup $v_*(f_{2^k}d_{2n})$ with respect to canonical involution $*$ when $n$ is odd.

Bazzi and Mitter showed that binary dihedral group codes are asymptotically good. In this paper we prove the over any finite field with strong duality property If characteristic of is even, self-dual odd, maximal self-orthogonal LCD

Let ? be a simple undirected graph on finite vertex set and let A its adjacency matrix. Then is singular if singular. The problem of characterizing graphs easy to state but very difficult resolve in any generality. In this paper we investigate the singularity for which dihedral group acts transitively vertices as automorphisms.